In a school, the ratio of children to the number of adults is 3 : 10.
The ratio of the number of men to the number of women is 5 : 3.
There are 80 less women than men.
How many people are there in the school?
Children |
Adults |
3 x 4 |
10 x 4 |
|
Men |
Women |
|
5 x 5 |
3 x 5 |
12 u |
25 u |
15 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 10 and 8.
LCM of 10 and 8 = 40
Number of less women than men
= 25 u - 15 u
= 10 u
10 u = 80
1 u = 80 ÷ 10 = 8
Number of people
= 12 u + 25 u + 15 u
= 52 u
= 52 x 8
= 416
Answer(s): 416